The order of convergence of some families of iterative methods for solving nonlinear equations

Raluca Anamaria Pomian



Full PDF


We focus on some families of iterative methods. A few particular cases of these families are: Newton's method, Halley's method, Euler's method, Osculating parabola method, Chebyshev's method and others. For each families we started with a definition, we continue with particular cases and examples. For each these families we get their convergence order. We also obtain for some polynomials the attraction basins of the studied methods.

Additional Information


Pomian, Raluca Anamaria